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We address the problem of image color quantization using a Maximum Entropy based approach. Focusing on pixel mapping we argue that adding thermal noise to the system yields better visual impressions than that obtained from a simple energy…

Statistical Mechanics · Physics 2023-03-15 Samy Lakhal , Alexandre Darmon , Michael Benzaquen

We propose a discrete fractional random transform based on a generalization of the discrete fractional Fourier transform with an intrinsic randomness. Such discrete fractional random transform inheres excellent mathematical properties of…

Mathematical Physics · Physics 2007-05-23 Zhengjun Liu , Haifa Zhao , Shutian Liu

This paper describes a novel method for partitioning image into meaningful segments. The proposed method employs watershed transform, a well-known image segmentation technique. Along with that, it uses various auxiliary schemes such as…

Computer Vision and Pattern Recognition · Computer Science 2013-03-21 Ankit R. Chadha , Neha S. Satam

We initiate a systematic investigation of distribution testing in the framework of algorithmic replicability. Specifically, given independent samples from a collection of probability distributions, the goal is to characterize the sample…

Machine Learning · Computer Science 2025-07-04 Ilias Diakonikolas , Jingyi Gao , Daniel Kane , Sihan Liu , Christopher Ye

We study the amount of information that is contained in "random pictures", by which we mean the sample sets of a Boolean model. To quantify the notion "amount of information", two closely connected questions are investigated: on the one…

Probability · Mathematics 2020-02-07 Frank Aurzada , Mikhail Lifshits

Multiple optical scattering occurs when light propagates in a non-uniform medium. During the multiple scattering, images were distorted and the spatial information they carried became scrambled. However, the image information is not lost…

Computer Vision and Pattern Recognition · Computer Science 2021-07-30 Xinyu Gao , Yi Li , Yanqing Qiu , Bangning Mao , Miaogen Chen , Yanlong Meng , Chunliu Zhao , Juan Kang , Yong Guo , Changyu Shen

For some images, descriptions written by multiple people are consistent with each other. But for other images, descriptions across people vary considerably. In other words, some images are specific $-$ they elicit consistent descriptions…

Computer Vision and Pattern Recognition · Computer Science 2015-04-17 Mainak Jas , Devi Parikh

Image hashing is a popular technique applied to large scale content-based visual retrieval due to its compact and efficient binary codes. Our work proposes a new end-to-end deep network architecture for supervised hashing which directly…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Dang-Khoa Le Tan , Thanh-Toan Do , Ngai-Man Cheung

Given well-shuffled data, can we determine whether the data items are statistically (in)dependent? Formally, we consider the problem of testing whether a set of exchangeable random variables are independent. We will show that this is…

Statistics Theory · Mathematics 2022-10-25 Marcus Hutter

A new line of research uses compression methods to measure the similarity between signals. Two signals are considered similar if one can be compressed significantly when the information of the other is known. The existing compression-based…

Computer Vision and Pattern Recognition · Computer Science 2019-09-30 Tanaya Guha , Rabab K. Ward

We analyze the security of recently proposed image encryption scheme [1]. We show that the scheme is insecure and the methods used to evaluate its security are insufficient. By designing the Deliberately Weak Cipher, a completely vulnerable…

Cryptography and Security · Computer Science 2018-09-25 Martin Stanek

Image clustering is an important and open-challenging task in computer vision. Although many methods have been proposed to solve the image clustering task, they only explore images and uncover clusters according to the image features, thus…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Shaotian Cai , Liping Qiu , Xiaojun Chen , Qin Zhang , Longteng Chen

Randomness is one of the most important resources in modern information science, since encryption founds upon the trust in random numbers. Since it is impossible to prove if an existing random bit string is truly random, it is relevant that…

Quantum Physics · Physics 2015-12-22 Lukas Oberreiter , Ilja Gerhardt

In this paper we address the uncertainty issues involved in the low-level vision task of image segmentation. Researchers in computer vision have worked extensively on this problem, in which the goal is to partition (or segment) an image…

Artificial Intelligence · Computer Science 2013-03-08 Steven M. LaValle , Seth A. Hutchinson

By performing local projective measurements on a two-qubit entangled state one can certify in a device-independent way up to one bit of randomness. We show here that general measurements, defined by positive-operator-valued measures, can…

Quantum Physics · Physics 2016-04-20 Antonio Acín , Stefano Pironio , Tamás Vértesi , Peter Wittek

In general, randomness tests included in a test suite are not independent of each other. This renders it difficult to fix a rational criterion through the whole test suite with an explicit significance level. In this paper, we focus on the…

Statistics Theory · Mathematics 2019-08-21 Atsushi Iwasaki

With the recent advancements in the field of information industry, critical data in the form of digital images is best understood by the human brain. Therefore, digital images play a significant part and backbone role in many areas such as…

Image and Video Processing · Electrical Eng. & Systems 2024-12-10 Muhammad Umair Danish

Information security is one of the most challenging problems in today's technological world. In order to secure the transmission of secret data over the public network (Internet), various schemes have been presented over the last decade.…

Multimedia · Computer Science 2016-01-08 Khan Muhammad , Jamil Ahmad , Muhammad Sajjad , Muhammad Zubair

Applying encryption technology to image retrieval can ensure the security and privacy of personal images. The related researches in this field have focused on the organic combination of encryption algorithm and artificial feature…

Multimedia · Computer Science 2022-08-26 Zhixun Lu , Qihua Feng , Peiya Li

Reliable randomness is a core ingredient in algorithms and applications ranging from numerical simulations to statistical sampling and cryptography. The outcomes of measurements on entangled quantum states can violate Bell inequalities,…

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